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Finding the Fourth Proportional to 884.65, 1,327.05 and 268.33

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Solution

The fourth proportional to 884.65, 1,327.05 and 268.33 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.65 : 1,327.05 = 268.33 : x
  2. Step 2: Convert to fraction form
    884.65/1,327.05 = 268.33/x
  3. Step 3: Cross multiply
    884.65x = 1,327.05 × 268.33
  4. Step 4: Simplify right side
    884.65x = 356,087.33
  5. Step 5: Solve for x
    x = 356,087.33/884.65
  6. Step 6: Final answer
    x = 402.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.